11L 10s
Jump to navigation
Jump to search
Scale structure
Step pattern
LLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
19\21 to 10\11 (1085.7¢ to 1090.9¢)
Dark
1\11 to 2\21 (109.1¢ to 114.3¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
3:2 to 2:1 (hyposoft)
Related MOS scales
Parent
10L 1s
Sister
10L 11s
Daughters
21L 11s, 11L 21s
Neutralized
1L 20s
2-Flought
32L 10s, 11L 31s
Equal tunings
Equalized (L:s = 1:1)
19\21 (1085.7¢)
Supersoft (L:s = 4:3)
67\74 (1086.5¢)
Soft (L:s = 3:2)
48\53 (1086.8¢)
Semisoft (L:s = 5:3)
77\85 (1087.1¢)
Basic (L:s = 2:1)
29\32 (1087.5¢)
Semihard (L:s = 5:2)
68\75 (1088.0¢)
Hard (L:s = 3:1)
39\43 (1088.4¢)
Superhard (L:s = 4:1)
49\54 (1088.9¢)
Collapsed (L:s = 1:0)
10\11 (1090.9¢)
↖ 10L 9s | ↑ 11L 9s | 12L 9s ↗ |
← 10L 10s | 11L 10s | 12L 10s → |
↙ 10L 11s | ↓ 11L 11s | 12L 11s ↘ |
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLsLsLsLL
11L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 10 small steps, repeating every octave. 11L 10s is a grandchild scale of 1L 9s, expanding it by 11 tones. Generators that produce this scale range from 1085.7¢ to 1090.9¢, or from 109.1¢ to 114.3¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
20|0 | 1 | LLsLsLsLsLsLsLsLsLsLs |
19|1 | 20 | LsLLsLsLsLsLsLsLsLsLs |
18|2 | 18 | LsLsLLsLsLsLsLsLsLsLs |
17|3 | 16 | LsLsLsLLsLsLsLsLsLsLs |
16|4 | 14 | LsLsLsLsLLsLsLsLsLsLs |
15|5 | 12 | LsLsLsLsLsLLsLsLsLsLs |
14|6 | 10 | LsLsLsLsLsLsLLsLsLsLs |
13|7 | 8 | LsLsLsLsLsLsLsLLsLsLs |
12|8 | 6 | LsLsLsLsLsLsLsLsLLsLs |
11|9 | 4 | LsLsLsLsLsLsLsLsLsLLs |
10|10 | 2 | LsLsLsLsLsLsLsLsLsLsL |
9|11 | 21 | sLLsLsLsLsLsLsLsLsLsL |
8|12 | 19 | sLsLLsLsLsLsLsLsLsLsL |
7|13 | 17 | sLsLsLLsLsLsLsLsLsLsL |
6|14 | 15 | sLsLsLsLLsLsLsLsLsLsL |
5|15 | 13 | sLsLsLsLsLLsLsLsLsLsL |
4|16 | 11 | sLsLsLsLsLsLLsLsLsLsL |
3|17 | 9 | sLsLsLsLsLsLsLLsLsLsL |
2|18 | 7 | sLsLsLsLsLsLsLsLLsLsL |
1|19 | 5 | sLsLsLsLsLsLsLsLsLLsL |
0|20 | 3 | sLsLsLsLsLsLsLsLsLsLL |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
19\21 | 1085.714 | 114.286 | 1:1 | 1.000 | Equalized 11L 10s | |||||
105\116 | 1086.207 | 113.793 | 6:5 | 1.200 | ||||||
86\95 | 1086.316 | 113.684 | 5:4 | 1.250 | ||||||
153\169 | 1086.391 | 113.609 | 9:7 | 1.286 | ||||||
67\74 | 1086.486 | 113.514 | 4:3 | 1.333 | Supersoft 11L 10s | |||||
182\201 | 1086.567 | 113.433 | 11:8 | 1.375 | ||||||
115\127 | 1086.614 | 113.386 | 7:5 | 1.400 | ||||||
163\180 | 1086.667 | 113.333 | 10:7 | 1.429 | ||||||
48\53 | 1086.792 | 113.208 | 3:2 | 1.500 | Soft 11L 10s | |||||
173\191 | 1086.911 | 113.089 | 11:7 | 1.571 | ||||||
125\138 | 1086.957 | 113.043 | 8:5 | 1.600 | ||||||
202\223 | 1086.996 | 113.004 | 13:8 | 1.625 | ||||||
77\85 | 1087.059 | 112.941 | 5:3 | 1.667 | Semisoft 11L 10s | |||||
183\202 | 1087.129 | 112.871 | 12:7 | 1.714 | ||||||
106\117 | 1087.179 | 112.821 | 7:4 | 1.750 | ||||||
135\149 | 1087.248 | 112.752 | 9:5 | 1.800 | ||||||
29\32 | 1087.500 | 112.500 | 2:1 | 2.000 | Basic 11L 10s Scales with tunings softer than this are proper | |||||
126\139 | 1087.770 | 112.230 | 9:4 | 2.250 | ||||||
97\107 | 1087.850 | 112.150 | 7:3 | 2.333 | ||||||
165\182 | 1087.912 | 112.088 | 12:5 | 2.400 | ||||||
68\75 | 1088.000 | 112.000 | 5:2 | 2.500 | Semihard 11L 10s | |||||
175\193 | 1088.083 | 111.917 | 13:5 | 2.600 | ||||||
107\118 | 1088.136 | 111.864 | 8:3 | 2.667 | ||||||
146\161 | 1088.199 | 111.801 | 11:4 | 2.750 | ||||||
39\43 | 1088.372 | 111.628 | 3:1 | 3.000 | Hard 11L 10s | |||||
127\140 | 1088.571 | 111.429 | 10:3 | 3.333 | ||||||
88\97 | 1088.660 | 111.340 | 7:2 | 3.500 | ||||||
137\151 | 1088.742 | 111.258 | 11:3 | 3.667 | ||||||
49\54 | 1088.889 | 111.111 | 4:1 | 4.000 | Superhard 11L 10s | |||||
108\119 | 1089.076 | 110.924 | 9:2 | 4.500 | ||||||
59\65 | 1089.231 | 110.769 | 5:1 | 5.000 | ||||||
69\76 | 1089.474 | 110.526 | 6:1 | 6.000 | ||||||
10\11 | 1090.909 | 109.091 | 1:0 | → ∞ | Collapsed 11L 10s |